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Phase portraits of separable Hamiltonian systems
dc.contributor.author | Guillamon Grabolosa, Antoni |
dc.contributor.author | Pantazi, Chara |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2008-09-26T17:34:30Z |
dc.date.available | 2008-09-26T17:34:30Z |
dc.date.created | 2007-08 |
dc.date.issued | 2007-09 |
dc.identifier.citation | 978-84-690-7182-3 |
dc.identifier.isbn | 978-84-690-7182-3 |
dc.identifier.uri | http://hdl.handle.net/2117/2258 |
dc.description.abstract | We study some generalizations of potential Hamiltonian systems $(H(x, y) = y^2 + F(x))$ with one degree of freedom. In particular, we are interested in Hamiltonian systems with Hamiltonian functions of type $H(x, y) = F(x) + G(y)$ arising in applied mechanical problems. We present an algorithm to plot the phase portrait (include the behavior at infinity) of any Hamiltonian system of type $H(x, y) = F(x)+G(y)$, where $F$ and $G$ are arbitrary polynomials. We are able to give the full description in the Poincaré disk according to the graphs of $F$ and $G$, extending the well-known method for the “finite” phase portrait of potential systems. |
dc.format.extent | 8 p. |
dc.language.iso | eng |
dc.publisher | Universidad de Sevilla |
dc.relation.ispartof | Congreso de Ecuaciones Diferenciales y Aplicaciones (XX : 2007 : Sevilla, Espanya). Congreso de Matemática Aplicada (X : 2007 : Sevilla, Espanya). |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Nonlinear Dynamics. |
dc.subject.lcsh | Differential equations |
dc.subject.lcsh | Differentiable dynamical systems |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.other | mechanic of particles |
dc.subject.other | differential equations |
dc.subject.other | ergodic theory |
dc.title | Phase portraits of separable Hamiltonian systems |
dc.type | Conference report |
dc.subject.lemac | Partícules (Física nuclear) |
dc.subject.lemac | Equacions diferencials ordinàries |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.subject.lemac | Hamilton, Sistemes de |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.date.end | 2007-09-28 |
dc.date.start | 2007-09-24 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.rights.access | Open Access |
local.personalitzacitacio | true |